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Finding the Fourth Proportional to 63.09, 94.19 and 57.42

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Solution

The fourth proportional to 63.09, 94.19 and 57.42 is: 85.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.09 : 94.19 = 57.42 : x
  2. Step 2: Convert to fraction form
    63.09/94.19 = 57.42/x
  3. Step 3: Cross multiply
    63.09x = 94.19 × 57.42
  4. Step 4: Simplify right side
    63.09x = 5,408.10
  5. Step 5: Solve for x
    x = 5,408.10/63.09
  6. Step 6: Final answer
    x = 85.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.